000 03933nam a22005055i 4500
001 978-3-642-13290-2
003 DE-He213
005 20190213151933.0
007 cr nn 008mamaa
008 100907s2010 gw | s |||| 0|eng d
020 _a9783642132902
_9978-3-642-13290-2
024 7 _a10.1007/978-3-642-13290-2
_2doi
050 4 _aQC173.96-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI057000
_2bisacsh
072 7 _aPHQ
_2thema
082 0 4 _a530.12
_223
100 1 _aParkinson, John.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 3 _aAn Introduction to Quantum Spin Systems
_h[electronic resource] /
_cby John Parkinson, Damian J J Farnell.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2010.
300 _aXI, 154 p. 22 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v816
505 0 _aSpin Models -- Quantum Treatment of the Spin-½ Chain -- The Antiferromagnetic Ground State -- Antiferromagnetic Spin Waves -- The XY Model -- Spin-Wave Theory -- Numerical Finite-Size Calculations -- Other Approximate Methods -- The Coupled Cluster Method -- Quantum Magnetism.
520 _aThe topic of lattice quantum spin systems is a fascinating and by now well-established branch of theoretical physics. However, many important questions remain to be answered. Their intrinsically quantum mechanical nature and the large (usually effectively infinite) number of spins in macroscopic materials often leads to unexpected or counter-intuitive results and insights. Spin systems are not only the basic models for a whole host of magnetic materials but they are also important as prototypical models of quantum systems. Low dimensional systems (as treated in this primer), in 2D and especially 1D, have been particularly fruitful because their simplicity has enabled exact solutions to be determined in many cases. These exact solutions contain many highly nontrivial features. This book was inspired by a set of lectures on quantum spin systems and it is set at a level of practical detail that is missing in other textbooks in the area. It will guide the reader through the foundations of the field. In particular, the solutions of the Heisenberg and XY models at zero temperature using the Bethe Ansatz and the Jordan-Wigner transformation are covered in some detail. The use of approximate methods, both theoretical and numerical, to tackle more advanced topics is considered. The final chapter describes some very recent applications of approximate methods in order to show some of the directions in which the study of these systems is currently developing.
650 0 _aQuantum theory.
650 1 4 _aQuantum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19080
650 2 4 _aSolid State Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P25013
650 2 4 _aQuantum Information Technology, Spintronics.
_0http://scigraph.springernature.com/things/product-market-codes/P31070
650 2 4 _aLow Temperature Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P25130
650 2 4 _aPhase Transitions and Multiphase Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P25099
700 1 _aFarnell, Damian J J.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642132896
776 0 8 _iPrinted edition:
_z9783642132919
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v816
856 4 0 _uhttps://doi.org/10.1007/978-3-642-13290-2
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c12391
_d12391